Explicit formulas for Hecke Gauss sums in quadratic number fields

被引：1

作者：

Boylan, Hatice ^{[1
,2
]}

Skoruppa, Nils-Peter ^{[1
]}

机构：

[1] Univ Siegen, Fachbereich Math, D-57072 Siegen, Germany

[2] Bilkent Univ, Matemat Bolumu, Ankara, Turkey

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2010年 / 80卷 / 02期

关键词：

Hecke reciprocity; Gauss sums;

D O I：

10.1007/s12188-010-0041-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate consequence we obtain a quadratic reciprocity law in quadratic number fields which generalizes the classical one given by Hecke. The proofs use, apart from the well-known formulas for ordinary Gauss sums, only elementary algebraic manipulations.

引用

页码：213 / 226

页数：14

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